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Some Characterizations of Dedekind α-Completeness of a Riesz Space
Published online by Cambridge University Press: 20 November 2018
Abstract
A vector lattice F is said to be Dedekind α-complete, where α is a cardinal number, provided that each non-empty order bounded subset D of F satisfying card(D) ≤ α has a supremum. Several characterizations of this property are presented here.
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- Copyright © Canadian Mathematical Society 1993
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